Cube Root Index Division Q

Apr 2014
12
0
bost
So I've been doing indices all morning and along pops this question:

IMG02125-20140528-1026.jpg

Maybe my brain is hurting and I need a break, but how the fudge does this equal '2'?
 
Apr 2014
12
0
bost
Sorry. N/m. I got it. Don't know how to delete.
 

HallsofIvy

MHF Helper
Apr 2005
20,249
7,909
Glad you were able to get it. For others who might be wondering:
\(\displaystyle \left(24e)^{1/3}\right)/\left(3e\right)^{1/3}= \frac{(24e)^{1/3}}{(2e)^{1/3}}= \left(\frac{24e}{3e}\right)^{1/3}= \left(\frac{(3)(8)e}{3e}\right)^{1/3}= 8^{1/3}= 2\)